Slope-Intercept Form: Real-World Applications for 8th Graders

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form and identify the slope and y-intercept.

• C = 0.25m + 30; slope = 0.25, y-intercept = 30

• C = 0.20m + 20; slope = 0.20, y-intercept = 20

• C = 0.20m + 30; slope = 0.20, y-intercept = 30

• C = 0.30m + 30; slope = 0.30, y-intercept = 30

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A phone plan costs $25 per month plus $0.10 per text message. Write the equation in slope-intercept form and identify the slope and y-intercept.

• y = 0.10x + 25; slope = 0.10, y-intercept = 25

• y = 0.10x + 30; slope = 0.10, y-intercept = 30

• y = 25x + 0.10; slope = 25, y-intercept = 0.10

• y = 25 + 0.05x; slope = 0.05, y-intercept = 25

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Two friends are saving money for a concert. Friend A saves $15 a week, while Friend B saves $10 a week. Write a system of equations to represent their savings and find the point where they will have the same amount saved.

• They will have the same amount saved at $0 after 0 weeks.

• They will have the same amount saved at $50 after 5 weeks.

• They will have the same amount saved at $100 after 10 weeks.

• They will have the same amount saved at $30 after 3 weeks.

Tags

CCSS.8.EE.C.8C

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer spends $30, write the equation in slope-intercept form and identify the slope and y-intercept.

• y = -1.5x + 15; slope = -1.5, y-intercept = 15

• y = -2x + 10; slope = -2, y-intercept = 10

• y = -1x + 20; slope = -1, y-intercept = 20

• y = -3x + 5; slope = -3, y-intercept = 5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A gym charges a monthly fee of $40 plus $5 for each class attended. Write the equation in slope-intercept form and identify the slope and y-intercept.

• Slope: 0, Y-intercept: 40

• Slope: 40, Y-intercept: 5

• Slope: 5, Y-intercept: 40

• Slope: 5, Y-intercept: 0

A gardener is planting flowers in two different types of pots. Pot A costs $5 each and Pot B costs $3 each. If the total cost is $50, write the equation in slope-intercept form and identify the slope and y-intercept.

• y = 5x + 50; slope = 5, y-intercept = 50

• y = -2x + 25; slope = -2, y-intercept = 25

• y = -3/5x + 50/5; slope = -3/5, y-intercept = 50/5

• y = -5/3x + 50/3; slope = -5/3, y-intercept = 50/3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A delivery service charges a base fee of $10 plus $2 per mile. Write the equation in slope-intercept form and identify the slope and y-intercept.

• y = 3x + 10; slope = 3, y-intercept = 10

• y = 10x + 2; slope = 10, y-intercept = 2

• y = 2x + 10; slope = 2, y-intercept = 10

• y = 2x + 5; slope = 2, y-intercept = 5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A bookstore sells novels for $12 each and magazines for $5 each. If a customer spends $60, write the equation in slope-intercept form and identify the slope and y-intercept.

• y = -\frac{12}{5}x + 12; slope = -\frac{12}{5}, y-intercept = 12

• y = -rac{12}{5}x + 10; slope = -rac{12}{5}, y-intercept = 10

• y = rac{5}{12}x + 5; slope = rac{5}{12}, y-intercept = 5

• y = -rac{5}{12}x + 10; slope = -rac{5}{12}, y-intercept = 10

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A local pool charges a $20 entrance fee plus $3 for each hour spent. Write the equation in slope-intercept form and identify the slope and y-intercept.

• Slope: 20, Y-intercept: 3

• Slope: 0, Y-intercept: 20

• Slope: 3, Y-intercept: 15

• Slope: 3, Y-intercept: 20

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3